How Do I Solve for Final Pressure in an Ideal Gas Problem?

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To solve for the final pressure of an ideal gas when the temperature and volume change, use the ideal gas law, PV=nRT, for both initial and final states. The initial pressure is 1.40 atm at 299 K, and the final temperature is 315 K with the volume increased to 1.29 times the initial value. By setting up two equations for the before and after conditions, you can eliminate the number of moles (n) and the gas constant (R) by dividing the equations. This allows for the calculation of the final pressure without needing to know the exact values of n or R. Following this method will yield the correct final pressure.
dnl65078
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Please Help! Kinetic Energy Problem

1. The initial pressure in an ideal gas is 1.40 atm when its temperature is 299 K. The temperature is increased to 315 K and the volume is increased to 1.29 times its initial value. Calculate the final pressure.

2. R = 8.31 J/molK

PLEASE HELP!

THANKS IN ADVANCE!
 
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What have you tried already?
 


Thats just the thing. I cannot figure out what formula to use. The formula's I have are PV=nRT and PV=NKbT... none of the formulas I was given seem to be valid for a "change in temp/volume"
 


Try writing out PV=nRT for both the "before" and "after" situations. You'll be able to solve for the final pressure from there, even though you don't know n (and don't need to know R).
 


Make 2 equations and solve by dividing the equations. Cancel out the same unknown.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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